Least Common Multiple of 9750 and 9754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9750 and 9754 the smallest integer that is 47550750 that is divisible by both numbers.

Least Common Multiple (LCM) of 9750 and 9754 is 47550750.

LCM(9750,9754) = 47550750

LCM of 9750 and 9754

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9750 and 9754

LCM of 9750 and 9754 is 47550750

Least common multiple can be found by multiplying the highest exponent prime factors of 9750 and 9754. First we will calculate the prime factors of 9750 and 9754.

Prime Factorization of 9750


2 9750
3 4875
5 1625
5 325
5 65
13 13
1

Prime factors of 9750 are 2, 3, 5,13. Prime factorization of 9750 in exponential form is:

9750 = 21×31×53×131

Prime Factorization of 9754


2 9754
4877 4877
1

Prime factors of 9754 are 2,4877. Prime factorization of 9754 in exponential form is:

9754 = 21×48771

Now multiplying the highest exponent prime factors to calculate the LCM of 9750 and 9754.

LCM(9750,9754) = 21×31×53×131×48771
LCM(9750,9754) = 47550750

Factors of 9750

List of positive integer factors of 9750 that divides 9750 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 650, 750, 975, 1625, 1950, 3250, 4875, 9750

Factors of 9754

List of positive integer factors of 9754 that divides 9754 without a remainder.

1, 2, 4877, 9754

Least Common Multiple of 9750 and 9754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9750 and 9754, than apply into the LCM equation.

GCF(9750,9754) = 2
LCM(9750,9754) = ( 9750 × 9754) / 2
LCM(9750,9754) = 95101500 / 2
LCM(9750,9754) = 47550750

Properties of LCM 9750 and 9754

(i) The LCM of 9754 and 9750 is associative

LCM of 9750 and 9754 = LCM of 9754 and 9750

Related Least Common Multiples of 9750

Related Least Common Multiples of 9754

Frequently Asked Questions on LCM of 9750 and 9754

1. What is the LCM of 9750 and 9754?

Answer: LCM of 9750 and 9754 is 47550750.

2. What are the Factors of 9750?

Answer: Factors of 9750 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 650, 750, 975, 1625, 1950, 3250, 4875, 9750. There are 32 integers that are factors of 9750. The greatest factor of 9750 is 9750.

3. What are the Factors of 9754?

Answer: Factors of 9754 are 1, 2, 4877, 9754. There are 4 integers that are factors of 9754. The greatest factor of 9754 is 9754.

4. How to Find the LCM of 9750 and 9754?

Answer:

Least Common Multiple of 9750 and 9754 = 47550750

Step 1: Find the prime factorization of 9750

9750 = 2 x 3 x 5 x 5 x 5 x 13

Step 2: Find the prime factorization of 9754

9754 = 2 x 4877

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 47550750 = 2 x 3 x 5 x 5 x 5 x 13 x 4877

Step 4: Therefore, the least common multiple of 9750 and 9754 is 47550750.